Q31. - Algebra 2

Question

For Exercises 31-34, use the table and the following information.

 Carmen Fox owns three fruit farms on which he grows apples, peaches, and apricots. He sells apples for $22$ a case, peaches for 25 a case, and apricots for 18 a case.

Write an inventory matrix for the number of cases for each type of fruit for each farm.

Step-by-Step Solution

Answer

The matrix related to the inventory is $I=\left[\begin{array}{ccc}290& 165& 210\\ 175& 240& 190\\ 110& 75& 0\end{array}\right]$

Step 1- State the dimensions for the matrix

The dimensions of the matrix related to the inventory will be because there are 3 categories of food and the count of farms is 3.

Step 2 – Make the required matrix

By using the provided information and dimensions make the matrix I related to the inventory.

$I=\left[\begin{array}{ccc}290& 165& 210\\ 175& 240& 190\\ 110& 75& 0\end{array}\right]$

The row of the matrix represents the farms and columns represent the fruits.

Step 3- Make the conclusion

As the obtained matrix is completely defining the provided information so obtained matrix is the required matrix.